Problem: As you very well know, this year's funkiest numbers are so called triangular numbers (that is, integers that are representable as <image>, where k is some positive integer), and the coolest numbers are those that are representable as a sum of two triangular numbers.

A well-known hipster Andrew adores everything funky and cool but unfortunately, he isn't good at maths. Given number n, help him define whether this number can be represented by a sum of two triangular numbers (not necessarily different)!

Input

The first input line contains an integer n (1 ≤ n ≤ 109).

Output

Print "YES" (without the quotes), if n can be represented as a sum of two triangular numbers, otherwise print "NO" (without the quotes).

Examples

Input

256


Output

YES


Input

512


Output

NO

Note

In the first sample number <image>.

In the second sample number 512 can not be represented as a sum of two triangular numbers.

Solution (in PYTHON3):

Solution:
import math
#n, m = input().split()
#n = int (n)
#m = int (m)
#n, m, k , l= input().split()
#n = int (n)
#m = int (m)
#k = int (k)
#l = int(l)
n = int(input())
#m = int(input())
#s = input()
##t = input()
#a = list(map(char, input().split()))
#a.append('.')
#print(l)
#c = list(map(int, input().split()))
#c = sorted(c)
#x1, y1, x2, y2 =map(int,input().split())
#n = int(input())
#f = []
#t = [0]*n
#f = [(int(s1[0]),s1[1]), (int(s2[0]),s2[1]), (int(s3[0]), s3[1])]
#f1 = sorted(t, key = lambda tup: tup[0])

l = 1
u = round(math.sqrt(n))*2
#u = n
f = False

while ( l <= u):
    #print(l, u)
    if(l*(l+1)+u*(u+1) < 2*n):
        l += 1
    elif(l*(l+1)+u*(u+1) > 2*n):
        u -= 1
    else:
        f = True
        break
if f:
    print("YES")
else:
    print("NO")